THE FUNDAMENTAL PROGRAM OF THE CALCULUS

By JESSICA ROBINSON

TABLE OF CONTENTS REAL NUMBERS REAL SETS THE FUNDAMENTAL COVERING LEMMA THE CALCULUS REAL FUNCTIONS THE DERIVATIVE THE INTEGRAL LITTLEWOOD·S THREE PRINCIPLES MEASURE AND INTEGRAL: LEBESGUE·S PROGRAM THEORY FOR THE INTEGRAL DINI DERIVATIVES THE VITALI COVERING THEOREM JORDAN VARIATION REAL FUNCTION VARIATIONAL MEASURES